Question

In: Statistics and Probability

The respondents of the 2010 HINTS reported their psychological distress on a scale between 0 and...

The respondents of the 2010 HINTS reported their psychological distress on a scale between 0 and 24. In the table below, you will see separate data on two groups of respondents’ distress scores: those who have ever been diagnosed as having cancer, and those who have not.

Psychological Distress Score

Diagnosed

Not Diagnosed

3.90

4.87

∑Y

729

5,849

∑(Y - )2

2,862.14

36,180.20

N

168

1,501

*formula 4.2 on page 109 and formula 4.3 on page 110 is very helpful to complete this problem set.      

  1. Calculate the variance and standard deviation from these statistics for both groups. (4 points)

b.What can you say about the variability in the distress scores for those respondents who have been diagnosed as having cancer and those who have not? Why might there be a difference? Why might there be more variability for one group than for the other? (4 points)

c.Was it necessary in this problem to provide you with the mean value to calculate the variance and standard deviation?

Solutions

Expert Solution


Related Solutions

The table below summarizes the mean psychological distress score of persons who are married to or...
The table below summarizes the mean psychological distress score of persons who are married to or cohabiting with a romantic partner and those who are not. Psychological distress is a scale of feelings of depression and anxiety, ranging from 0 to 24, where higher scores indicate more distress. In answering these questions, show all of your work. Mean Standard Deviation N Married/cohabiting 4.25 4.04 831 Not in a relationship 5.51 5.08 559 1. Construct a 95% confidence interval for psychological...
Lack of sleep has been associated with psychological distress in adolescents. In a phone survey from...
Lack of sleep has been associated with psychological distress in adolescents. In a phone survey from 2013 by the National Sleep Foundation there were about 250 respondents per country aged 25-55 years old. It was found that on average young adults sleep 7.2 hours with standard deviation of 0.8 hour. 1. What is the probability that young adults sleep less than 8.08 hours? 2. What is the probability that young adults sleep between 6.32 and 8.48 hours? 3. What is...
1. What are the purpose of studying psychological distress. 2 what are the key findings. 3...
1. What are the purpose of studying psychological distress. 2 what are the key findings. 3 any recommendation for people
what is the difference between respiratory distress syndrome in neonate and adult respiratory distress syndrome
what is the difference between respiratory distress syndrome in neonate and adult respiratory distress syndrome
1. A scale measuring prejudice has been administered to a large sample of respondents. The distribution...
1. A scale measuring prejudice has been administered to a large sample of respondents. The distribution of scores is approximately normal, with a mean of 30 and a standard deviation of 5. What percent of the sample had scores…a. Below 20? b. Below 40? c. Between 30 and 40? d. Between 35 and 45? e. Above 25? f. Above 35?
Suppose that a survey reported that 45% of respondents favored gun control, with a margin of...
Suppose that a survey reported that 45% of respondents favored gun control, with a margin of error of ±4 percentage points. (SHOW YOUR WORK) (a) What was the approximate size of the sample, n? (Round answer to the nearest whole number.) (b) What is an approximate 95% confidence interval for the percentage of the corresponding population who favor gun control? (c) Write a statement interpreting the interval you found in part (b) that could be understood by someone with no...
A poll of a random sample of 1500 adults reported that respondents slept an average of...
A poll of a random sample of 1500 adults reported that respondents slept an average of 6.5 hours on weekdays and 7.2 hours on​ weekends, and that 22​% of respondents got eight or more hours of sleep on​ weekdays, whereas 44​% got eight or more hours of sleep on weekends. Complete parts a and b below. a. To compare the means or the percentages using inferential​ methods, should you treat the samples on weekdays and weekends as independent samples or...
In a March 26-28, 2010 Gallup poll, 473 respondents (out of 1033) approved of they way...
In a March 26-28, 2010 Gallup poll, 473 respondents (out of 1033) approved of they way President Obama handled the health care debate (regardless of their opinions on health care policy). a) What is your point estimate for this proportion? b) Construct a 95% confidence interval for this opinion. did a significant majority disapprove of how he handled the debate?
A vertical scale on a spring balance reads from 0 to 235 N . The scale...
A vertical scale on a spring balance reads from 0 to 235 N . The scale has a length of 10.5 cm from the 0 to 235 N reading. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.65 Hz . Ignoring the mass of the spring, what is the mass m of the fish? Express your answer in kilograms.
Discuss the difference between returns to scale and economy of scale.
Discuss the difference between returns to scale and economy of scale.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT